Two closed geodesics on $${\mathbb {R}}P^{2n+1}$$ R P 2 n + 1 with a bumpy Finsler metric-Reference-Cited by-同舟云学术

Two closed geodesics on $${\mathbb {R}}P^{2n+1}$$ R P 2 n + 1 with a bumpy Finsler metric

Published:2015-07-09 Issue:3 Volume:54 Page:2883-2894
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Duan Huagui,Long Yiming,Xiao Yuming

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00526-015-0887-1.pdf

Reference37 articles.

1. Anosov, D.V.: Geodesics in Finsler geometry. In: Proc. I.C.M. (Vancouver, BC 1974), vol. 2, pp. 293–297, Montreal (1975). (Russian. Amer. Math. Soc. Transl. 109 1977, 81–85)

2. Bangert, V.: Geodätische Linien auf Riemannschen Mannigfaltigkeiten. Jahresber. Dtsch. Math. Verein. 87, 39–66 (1985)

3. Bangert, V.: On the existence of closed geodesics on two-spheres. Int. J. Math. 4(1), 1–10 (1993)

4. Bangert, V., Long, Y.: The existence of two closed geodesics on every Finsler n-sphere. Math. Ann. 346(2), 335–366 (2010)

5. Bangert, V., Hingston, N.: Closed geodesics on manifolds with infinite abelian fundamental group. J. Differ. Geom. 19, 277–282 (1984)

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